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Finding the Third Proportional to 4,649 and 10,222

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Solution

The third proportional to 4,649 and 10,222 is: 22,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649 : 10,222 = 10,222 : x
  2. Step 2: Convert to fraction form
    4,649/10,222 = 10,222/x
  3. Step 3: Cross multiply
    4,649x = 10,222 × 10,222
  4. Step 4: Simplify right side
    4,649x = 104,489,284
  5. Step 5: Solve for x
    x = 104,489,284/4,649
  6. Step 6: Final answer
    x = 22,475.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.